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Finding the Fourth Proportional to 1,303.47, 1,800 and 838.53

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Solution

The fourth proportional to 1,303.47, 1,800 and 838.53 is: 1,157.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,303.47 : 1,800 = 838.53 : x
  2. Step 2: Convert to fraction form
    1,303.47/1,800 = 838.53/x
  3. Step 3: Cross multiply
    1,303.47x = 1,800 × 838.53
  4. Step 4: Simplify right side
    1,303.47x = 1,509,354
  5. Step 5: Solve for x
    x = 1,509,354/1,303.47
  6. Step 6: Final answer
    x = 1,157.95

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.